Pith Number

pith:PFJEIT4O

pith:2015:PFJEIT4OJ2LIOEJMB4WE5ZY23Z

not attested not anchored not stored refs pending

Number of bound states of the Schroedinger operator of a system of three bosons in an optical lattice

Ahmad M.Khalkhuzhaev, Alimzhan R. Khalmukhamedov, Saidakhmat N. Lakaev

arxiv:1508.07581 v1 · 2015-08-30 · math.SP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFJEIT4OJ2LIOEJMB4WE5ZY23Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:08:13.048715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7952444f8e4e9687112c0f2c4ee71ade60c4a9599c9c49b05c3c32396b8dd60c

Aliases

arxiv: 1508.07581 · arxiv_version: 1508.07581v1 · doi: 10.48550/arxiv.1508.07581 · pith_short_12: PFJEIT4OJ2LI · pith_short_16: PFJEIT4OJ2LIOEJM · pith_short_8: PFJEIT4O

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PFJEIT4OJ2LIOEJMB4WE5ZY23Z \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7952444f8e4e9687112c0f2c4ee71ade60c4a9599c9c49b05c3c32396b8dd60c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6fe7fc5d2fa54636520991f6bd34cbc9102eeb98381141f36df3b205c78f631",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-08-30T14:45:09Z",
    "title_canon_sha256": "dae16444ce6dbd346b9c4bc3d0cfa78da65766d29d321c0851524046771cd991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07581",
    "kind": "arxiv",
    "version": 1
  }
}